This law does not prohibit the offender from _making a profile_ on these sites, but from accessing them altogether. So any site that allows users (news commenters, product reviewers, whatever) to have a "user profile" page cannot be accessed.
Amazon.com meets these criteria: https://www.amazon.com/gp/profile/amzn1.account.AGRXMFWYARWR...
Stack Overflow meets these criteria: https://stackoverflow.com/users/8131287/data-scientist
Github, all of Google, Wikipedia, ALSO meet this criteria. (Although Hacker News does not)
There are a few key things that are problematic with the wording of this law:
1. "Facilitates the social introduction between two or more persons for the purposes of friendship, meeting other persons, or information exchanges." The key word is "or" Every website is involved in information exchanges. This effectively does not limit the scope of the law.
2. The requirements of the profile pages contain "and" statements, but they're fairly generic. Name or username/nickname, photographs, and links placed somehow to other friends and associates. If there's a profile page, you can usually access some sort of activity log of the user (comments they've replied to, which may lead to users they've interacted with directly or indirectly) The only real limit here is the photograph, which not all websites (like Hacker News) have.
3. There is an exception involving "Has as its primary purpose the facilitation of commercial transactions involving goods or services between its members or visitors." However, this does not exclude sites like Amazon, given the strict wording of the law. Members are not exchanging goods with each other. This would exclude sites like Craigslist.
4. There is another exception: "Provides only one of the following discrete services: photo-sharing, electronic mail, instant messenger, or chat room or message board platform" The problem with this is that there aren't many "discrete service" websites that exist anymore. Google provides all of these services, Yahoo provides all of these services. Hotmail provides all of these services. Services like chats, forums, e-mail, and photo sharing are often bundled by a huge collection of other services.
5. The vague wording of "Web site" Is it a single domain? A single corporate entity? A single subdomain? The vague wording only works in favor of the law here.